Just hanging around - part3

Classical Mechanics Level 5

If the time period of SHM of rectangular block can be represented as \[T=2\pi \sqrt{\frac{m(\sqrt a +b)}{ck}}\]

Find the value of \(a+b\). Give your answer to 2 decimal places.

Details and Assumptions:

  • Pulley has sufficient friction for Pure Rolling and mass=m & strings are light and inextensible.

  • Gravity is present.

  • Zig-zag lines in fig represents spring of spring constant \(k\) and \(2k\) as shown.

  • a is a square-free integer and the fraction is in simplest form.

Try its different variants - medium and easy

Problem Loading...

Note Loading...

Set Loading...